Bohr–Sommerfeld Levels for Quantum Completely Integrable Systems

作     者：Victor GUILLEMIN Zuo Qin WANG Victor GUILLEMIN;Zuo Qin WANG

作者机构：Department of MathematicsMassachusetts Institute of TechnologyCambridgeMA 02139USA School of Mathematical SciencesUniversity of Science and Technology of ChinaHefei 230026P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2021年第37卷第11期

页      面：1743-1750页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：Supported by the National Key R and D Program of China(Grant No.2020YFA0713100) NSFC(Grant Nos.12026409,11721101,11926313) 

主　　题：Semiclassical asymptotics Bohr-Sommerfeld levels Quantum completely integrable system 

摘      要：In this paper we will show how the Bohr–Sommerfeld levels of a quantum completely integrable system can be computed modulo O(h^(∞))by an inductive procedure starting at stage zero with the Bohr–Sommerfeld levels of the corresponding classical completely integrable system.